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Let {V1, V2, V3, V4} be an orthonormal set in R5. (a) Let x = m1v1 +m2v2 + m3v3+m4v4 for some scalars m, m2,

   

Let {V1, V2, V3, V4} be an orthonormal set in R5. (a) Let x = m1v1 +m2v2 + m3v3+m4v4 for some scalars m, m2, m3, and m4. Show that ||x|| = |m1|2 + |m2|2 + |m3|2 + |m1|. (b) Show that for each y in R5, ||y|| |y v | + |y V2| + y V3| + y V4| .

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